Question

f(x) = square root 6xg(x) = square root 24xFind (f•g)(x). Assume x greater than or equal to 0

Answer 1

As given by the question

there are given that the function:

$\begin{gathered} f(x)=\sqrt[]{6x} \\ g(x)=\sqrt[]{24x} \end{gathered}$

Now,

To find the value of (f.g)(x), multiply the function f(x) with g(x)

Then,

$\begin{gathered} f(x)\times g(x)=\sqrt[]{6x}\times\sqrt[]{24x} \\ =\sqrt[]{6x}\times2\sqrt[]{6x} \\ =2\times6x \\ =12x \end{gathered}$

Hence, the correct option is A.